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Finding the Fourth Proportional to 102,103.34, 140,906.28 and 56,785.96

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Solution

The fourth proportional to 102,103.34, 140,906.28 and 56,785.96 is: 78,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,103.34 : 140,906.28 = 56,785.96 : x
  2. Step 2: Convert to fraction form
    102,103.34/140,906.28 = 56,785.96/x
  3. Step 3: Cross multiply
    102,103.34x = 140,906.28 × 56,785.96
  4. Step 4: Simplify right side
    102,103.34x = 8,001,498,768.91
  5. Step 5: Solve for x
    x = 8,001,498,768.91/102,103.34
  6. Step 6: Final answer
    x = 78,366.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.